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Atlas › Integer Profiles › Node 6,132,412

6,132,412

22 × 11 × 13 × 71 × 151
Abundant Even Composite

6,132,412 factors as 2^2 × 11 × 13 × 71 × 151. Its 48 positive divisors give a proper-divisor sum of 6,737,732, so this integer is abundant. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 13 × 71 × 151
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,870,144
Proper Divisor Sum 6,737,732
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #6132403 ← → #6132431

Radix Representation

Decimal 6132412
Binary 10111011001001010111100 (23 bits)
Octal 0o27311274
Hexadecimal 0x5D92BC

Divisor Catalog (48)

1 2 4 11 13 22 26 44 52 71 142 143 151 284 286 302 572 604 781 923 1,562 1,661 1,846 1,963 3,124 3,322 3,692 3,926 6,644 7,852 10,153 10,721 20,306 21,442 21,593 40,612 42,884 43,186 86,372 117,931 139,373 235,862 278,746 471,724 557,492 1,533,103 3,066,206 6,132,412

Collatz Trajectory (152 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

6,132,412 3,066,206 1,533,103 4,599,310 2,299,655 6,898,966 3,449,483 10,348,450 5,174,225 15,522,676 7,761,338 3,880,669 11,642,008 5,821,004 2,910,502 1,455,251 4,365,754 2,182,877 6,548,632 3,274,316 1,637,158 818,579 2,455,738 1,227,869 3,683,608 1,841,804 920,902 460,451 1,381,354 690,677 2,072,032 1,036,016 518,008 259,004 129,502 64,751 194,254 97,127 291,382 145,691 437,074 218,537 655,612 327,806 163,903 491,710 245,855 737,566 368,783 1,106,350 553,175 1,659,526 829,763 2,489,290 1,244,645 3,733,936 1,866,968 933,484 466,742 233,371

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